Suppose a triangle has two sides of the length 2and 3 and that the angle between these two sides is 60 what is the length of the third side of the triangle

Question

Mathematics

Kylie Hendricks

26 April, 22:14

Suppose a triangle has two sides of the length 2and 3 and that the angle between these two sides is 60 what is the length of the third side of the triangle

+2

Answers (1)

Know the Answer?

Valentina · Answer 1

Let the given sides be "a" and "b" and the unknown side be "c". The Law of Cosines tells you

... c^2 = a^2 + b^2 - 2ab*cos (C)

... c^2 = 2^2 + 3^2 - 2*2*3*cos (60°)

... c^2 = 7

... c = √7 ≈ 2.6458

The third side of the triangle is √7, about 2.6458.